Conference designs C(16, 9)
This page contains information about conference designs. The results have been generated with the Orthogonal Array package. If you use these results, please cite the paper A Classification Criterion for Definitive Screening Designs, E.D. Schoen, P.T. Eendebak, P. Goos, Annals of Statistics, 2019.
Results
| Statistic | Results |
| Number of non-isomorphic designs | 42 |
| Minimum/Maximum rank of model matrix with 2FI and QE | 16/16 |
| Minimum/Maximum rank of model matrix for 2FI | 15/15 |
| Minimum B4 | 6.7500 |
| Maximum B4 | 9.6250 |
| Minimum F4 | (1, 18, 39, 68) |
| Maximum F4 | (14, 0, 28, 84) |
| Data | all arrays |
Note: 2FI: two-factor interaction; QE: quadratic effect
Pareto optimal designs
There are 6 Pareto optimal designs in 6 classes. Pareto optimality is according to r(2FI, QE), r(2FI), F4, B4, PEC4, PEC5, PIC4, PIC5, PPC4, and PPC5 (any other statistics are ignored).
| Index Pareto file | Index design file | Rank 2FI and QE | Rank 2FI | F4 | B4 | PEC4 | PEC5 | PIC4 | PIC5 | PPC4 | PPC5 | Extensions | Max. columns |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 0 | 8 | 16 | 15 | (1, 18, 39, 68) | 7.50 | 0.849 | 0.381 | 11.961 | 4.931 | 1.431 | 0.346 | Yes | 16 |
| 3 | 32 | 16 | 15 | (1, 18, 41, 66) | 7.62 | 0.849 | 0.317 | 11.957 | 4.112 | 1.432 | 0.281 | Yes | 10 |
| 4 | 33 | 16 | 15 | (2, 14, 38, 72) | 7.00 | 0.873 | 0.468 | 12.301 | 6.062 | 1.470 | 0.422 | Yes | 16 |
| 1 | 16 | 16 | 15 | (4, 10, 34, 78) | 6.88 | 0.889 | 0.508 | 12.535 | 6.581 | 1.494 | 0.444 | Yes | 16 |
| 2 | 23 | 16 | 15 | (4, 10, 36, 76) | 7.00 | 0.889 | 0.508 | 12.531 | 6.578 | 1.495 | 0.452 | Yes | 16 |
| 5 | 35 | 16 | 15 | (6, 6, 30, 84) | 6.75 | 0.905 | 0.571 | 12.769 | 7.406 | 1.518 | 0.494 | Yes | 16 |
Page generated on Tue Oct 22 20:35:41 2019.